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Citrus2011 [14]
3 years ago
9

Write quadratic equation whose roots are 1 and -3 and whose leading coefficient is 4

Mathematics
2 answers:
ale4655 [162]3 years ago
5 0

Answer:

4x^2 + 8x - 12 = 0

Step-by-step explanation:

A quadratic equation with roots a and b has the equation (x - a)(x - b) = 0.

You roots are 1 and -3.

The equation is

(x - 1)(x - (3)) = 0

(x - 1)(x + 3) = 0

We can multiply it out.

x^2 + 3x - x - 3 = 0

x^2 + 2x - 3 = 0

Since we need the leading coefficient to be 4, we multiply both sides by 4.

4x^2 + 8x - 12 = 0

Mila [183]3 years ago
3 0

Answer:

4x^2 + 8x - 12 = 0.

Step-by-step explanation:

We first write it in factor form.

4(x - 1)(x + 3) = 0

4(x^2 + 2x - 3) = 0

4x^2 + 8x - 12 = 0 (answer).

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Write 54 + 63 as the product of the GCF of 54 and 63 and another sum
levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

<em>We can prove this by solving both expressions:</em>

<em>54+63 = 9*(6+7)</em>

<em>117 = 9*13</em>

<em>117 = 117 </em>

<em>The results are equal so we prove it is right.</em>

8 0
3 years ago
Read 2 more answers
A small business lost $6200 in its first year, lost $2150 in its second year, and earned $4780 in its third year. Overall, in th
vfiekz [6]

Answer:

-6200-2150+4780

-8350+4780

Overall, they lost $3570

4 0
3 years ago
Find the volume <br> 6ft<br> 4ft<br> 3ft<br> (i know it’s not 72)
vlada-n [284]

Answer:

\fbox{Volume \:  of \:  pyramid \:  = 24 ft³}

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

Volume  \: of \:  pyramid=  \frac{l \times w \times h}{3} \\ Volume \:  of \:  pyramid=  \frac{6 \times 4 \times 3}{3}  \\ Volume \:  of \:  pyramid=  \frac{24 \times  \not3}{ \not3}  \\ Volume \:  of \:  pyramid= 24 \:  {ft}^{3}

\fbox{Volume \:  of \:  pyramid \:  = 24 ft³}

<h3><em><u>Thanks for joining brainly community!</u></em></h3>
5 0
2 years ago
A zoo keeper used 15 bags of acacia leaves to feed the giraffes and 8 bags of eucalyptus leaves to feed the koalas. Write a rati
8090 [49]

Answer: 15:8

Step-by-step explanation:

Acacia leaves= 15 bags

Eucalyptus leaves=8 bags

A ratio compares two amounts and uses a :

We are comparing acacia leaves bags to eucalyptus leaves bags

So-

15:8

We cannot simplify any more, so keep 15:8.

4 0
3 years ago
Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
kipiarov [429]

Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

10/22 = x/350

Cross multiplying, we would have 10(350) = 22(x).

6 0
3 years ago
Read 2 more answers
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